10721576313 has 32 divisors (see below), whose sum is σ = 18168606720. Its totient is φ = 6121325520.

The previous prime is 10721576311. The next prime is 10721576351. The reversal of 10721576313 is 31367512701.

10721576313 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 15 + 7 + 631 + 3 = 666.

It is not a de Polignac number, because 10721576313 - 2¹ = 10721576311 is a prime.

It is a super-2 number, since 2×10721576313² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10721576311) 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 31 ways as a sum of consecutive naturals, for example, 200448 + ... + 248238.

It is an arithmetic number, because the mean of its divisors is an integer number (567768960).

Almost surely, 2^10721576313 is an apocalyptic number.

It is an amenable number.

10721576313 is a deficient number, since it is larger than the sum of its proper divisors (7447030407).

10721576313 is a wasteful number, since it uses less digits than its factorization.

10721576313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48994 (or 48988 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 10721576313 in words is "ten billion, seven hundred twenty-one million, five hundred seventy-six thousand, three hundred thirteen".