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13132023131 = 101130020031
BaseRepresentation
bin11000011101011101…
…01100010101011011
31020220012012220011002
430032232230111123
5203343244220011
610011024455215
7643265232503
oct141656542533
936805186132
1013132023131
115629759387
122665a7a50b
1313138482b6
148c80d4a03
1551cd2ec3b
hex30ebac55b

13132023131 has 4 divisors (see below), whose sum is σ = 13262043264. Its totient is φ = 13002003000.

The previous prime is 13132023103. The next prime is 13132023137.

13132023131 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 13132023131 - 210 = 13132022107 is a prime.

It is a super-2 number, since 2×131320231312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13132023137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65009915 + ... + 65010116.

It is an arithmetic number, because the mean of its divisors is an integer number (3315510816).

Almost surely, 213132023131 is an apocalyptic number.

13132023131 is a deficient number, since it is larger than the sum of its proper divisors (130020133).

13132023131 is a wasteful number, since it uses less digits than its factorization.

13132023131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130020132.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 131320 and 23131, that added together give a palindrome (154451).

The spelling of 13132023131 in words is "thirteen billion, one hundred thirty-two million, twenty-three thousand, one hundred thirty-one".

Divisors: 1 101 130020031 13132023131