13114122023040 has 128 divisors (see below), whose sum is σ = 41802293142720. Its totient is φ = 3497013104640.

The previous prime is 13114122022997. The next prime is 13114122023063. The reversal of 13114122023040 is 4032022141131.

13114122023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13114122023040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131656455 + ... + 131756025.

Almost surely, 2^{13114122023040} is an apocalyptic number.

13114122023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13114122023040 is an abundant number, since it is smaller than the sum of its proper divisors (28688171119680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13114122023040 is an equidigital number, since it uses as much as digits as its factorization.

13114122023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168190 (or 168178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13114122023040 its reverse (4032022141131), we get a palindrome (17146144164171).

The spelling of 13114122023040 in words is "thirteen trillion, one hundred fourteen billion, one hundred twenty-two million, twenty-three thousand, forty".