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1313412451013 = 13245334118197
BaseRepresentation
bin10011000111001101011…
…110111000101011000101
311122120010222020120010002
4103013031132320223011
5133004332041413023
62443212351011045
7163614404426165
oct23071536705305
94576128216102
101313412451013
114670190a7153
1219266b209a85
1396b14a79aa0
14477d89da5a5
1524271699b28
hex131cd7b8ac5

1313412451013 has 8 divisors (see below), whose sum is σ = 1414502176248. Its totient is φ = 1212331011264.

The previous prime is 1313412450991. The next prime is 1313412451069. The reversal of 1313412451013 is 3101542143131.

It can be written as a sum of positive squares in 4 ways, for example, as 26363042689 + 1287049408324 = 162367^2 + 1134482^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1313412451013 - 210 = 1313412449989 is a prime.

It is a super-2 number, since 2×13134124510132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313412451213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1740170 + ... + 2378027.

It is an arithmetic number, because the mean of its divisors is an integer number (176812772031).

Almost surely, 21313412451013 is an apocalyptic number.

1313412451013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1313412451013 is a deficient number, since it is larger than the sum of its proper divisors (101089725235).

1313412451013 is a wasteful number, since it uses less digits than its factorization.

1313412451013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142743.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 1313412451013 its reverse (3101542143131), we get a palindrome (4414954594144).

The spelling of 1313412451013 in words is "one trillion, three hundred thirteen billion, four hundred twelve million, four hundred fifty-one thousand, thirteen".

Divisors: 1 13 24533 318929 4118197 53536561 101031727001 1313412451013