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13013211231031 = 111183019202821
BaseRepresentation
bin1011110101011101111111…
…0101010011001100110111
31201002001101001202121020111
42331113133311103030313
53201202024033343111
643402104155043451
72512113335251054
oct275273765231467
951061331677214
1013013211231031
114167965539150
12156206a140587
137351a9a4739b
1432dbb285802b
15178784410a21
hexbd5dfd53337

13013211231031 has 4 divisors (see below), whose sum is σ = 14196230433864. Its totient is φ = 11830192028200.

The previous prime is 13013211230977. The next prime is 13013211231079.

13013211231031 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 13013211231031 - 215 = 13013211198263 is a prime.

It is a super-2 number, since 2×130132112310312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13013211230993 and 13013211231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013211234031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 591509601400 + ... + 591509601421.

It is an arithmetic number, because the mean of its divisors is an integer number (3549057608466).

Almost surely, 213013211231031 is an apocalyptic number.

13013211231031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13013211231031 is a deficient number, since it is larger than the sum of its proper divisors (1183019202833).

13013211231031 is a wasteful number, since it uses less digits than its factorization.

13013211231031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183019202832.

The product of its (nonzero) digits is 324, while the sum is 22.

It can be divided in two parts, 1301321 and 1231031, that added together give a palindrome (2532352).

The spelling of 13013211231031 in words is "thirteen trillion, thirteen billion, two hundred eleven million, two hundred thirty-one thousand, thirty-one".

Divisors: 1 11 1183019202821 13013211231031