10123331011313 has 16 divisors (see below), whose sum is σ = 11544102573696. Its totient is φ = 8794353496320.

The previous prime is 10123331011303. The next prime is 10123331011333. The reversal of 10123331011313 is 31311013332101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10123331011313 is a prime.

It is a super-2 number, since 2×10123331011313² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10123331011303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894220 + ... + 4882082.

It is an arithmetic number, because the mean of its divisors is an integer number (721506410856).

Almost surely, 2^{10123331011313} is an apocalyptic number.

10123331011313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10123331011313 is a deficient number, since it is larger than the sum of its proper divisors (1420771562383).

10123331011313 is a wasteful number, since it uses less digits than its factorization.

10123331011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003224.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 10123331011313 its reverse (31311013332101), we get a palindrome (41434344343414).

The spelling of 10123331011313 in words is "ten trillion, one hundred twenty-three billion, three hundred thirty-one million, eleven thousand, three hundred thirteen".