10521145154313 has 12 divisors (see below), whose sum is σ = 15197702636740. Its totient is φ = 7013869245216.

The previous prime is 10521145154309. The next prime is 10521145154323. The reversal of 10521145154313 is 31345154112501.

10521145154313 is a `hidden beast` number, since 1 + 0 + 5 + 211 + 4 + 5 + 1 + 5 + 431 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1574992370169 + 8946152784144 = 1254987^2 + 2991012^2 .

It is not a de Polignac number, because 10521145154313 - 2² = 10521145154309 is a prime.

It is a super-2 number, since 2×10521145154313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10521145154323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18667258 + ... + 19222611.

Almost surely, 2^{10521145154313} is an apocalyptic number.

It is an amenable number.

10521145154313 is a deficient number, since it is larger than the sum of its proper divisors (4676557482427).

10521145154313 is a wasteful number, since it uses less digits than its factorization.

10521145154313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37920728 (or 37920725 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 10521145154313 its reverse (31345154112501), we get a palindrome (41866299266814).

The spelling of 10521145154313 in words is "ten trillion, five hundred twenty-one billion, one hundred forty-five million, one hundred fifty-four thousand, three hundred thirteen".