13100032424400 has 120 divisors (see below), whose sum is σ = 42039111583584. Its totient is φ = 3487070092800.

The previous prime is 13100032424371. The next prime is 13100032424429. The reversal of 13100032424400 is 442423000131.

It is an interprime number because it is at equal distance from previous prime (13100032424371) and next prime (13100032424429).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×13100032424400² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9131146 + ... + 10467945.

Almost surely, 2^{13100032424400} is an apocalyptic number.

13100032424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13100032424400 is an abundant number, since it is smaller than the sum of its proper divisors (28939079159184).

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

13100032424400 is a wasteful number, since it uses less digits than its factorization.

13100032424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19599669 (or 19599658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13100032424400 its reverse (442423000131), we get a palindrome (13542455424531).

The spelling of 13100032424400 in words is "thirteen trillion, one hundred billion, thirty-two million, four hundred twenty-four thousand, four hundred".