10440011032113 has 64 divisors (see below), whose sum is σ = 15702315761664. Its totient is φ = 6125898240000.

The previous prime is 10440011032111. The next prime is 10440011032159. The reversal of 10440011032113 is 31123011004401.

It is not a de Polignac number, because 10440011032113 - 2¹ = 10440011032111 is a prime.

It is a super-2 number, since 2×10440011032113² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10440011032113.

It is not an unprimeable number, because it can be changed into a prime (10440011032111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137390256 + ... + 137466222.

It is an arithmetic number, because the mean of its divisors is an integer number (245348683776).

Almost surely, 2^{10440011032113} is an apocalyptic number.

10440011032113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10440011032113 is a deficient number, since it is larger than the sum of its proper divisors (5262304729551).

10440011032113 is a wasteful number, since it uses less digits than its factorization.

10440011032113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77686.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10440011032113 its reverse (31123011004401), we get a palindrome (41563022036514).

The spelling of 10440011032113 in words is "ten trillion, four hundred forty billion, eleven million, thirty-two thousand, one hundred thirteen".