13023120313100 has 72 divisors (see below), whose sum is σ = 30054224687760. Its totient is φ = 4884200017920.

The previous prime is 13023120313069. The next prime is 13023120313103. The reversal of 13023120313100 is 131302132031.

It is a super-2 number, since 2×13023120313100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13023120313103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35147009 + ... + 35515608.

It is an arithmetic number, because the mean of its divisors is an integer number (417419787330).

Almost surely, 2^{13023120313100} is an apocalyptic number.

13023120313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13023120313100 is an abundant number, since it is smaller than the sum of its proper divisors (17031104374660).

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

13023120313100 is a wasteful number, since it uses less digits than its factorization.

13023120313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70662747 (or 70662740 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13023120313100 its reverse (131302132031), we get a palindrome (13154422445131).

The spelling of 13023120313100 in words is "thirteen trillion, twenty-three billion, one hundred twenty million, three hundred thirteen thousand, one hundred".