13451023664100 has 216 divisors, whose sum is σ = 48415104672480. Its totient is φ = 3089230272000.

The previous prime is 13451023664063. The next prime is 13451023664137. The reversal of 13451023664100 is 146632015431.

13451023664100 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 1 + 0 + 2 + 3 + 6 + 641 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13451023664063) and next prime (13451023664137).

It is a super-2 number, since 2×13451023664100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35566881 + ... + 35943080.

Almost surely, 2^{13451023664100} is an apocalyptic number.

13451023664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13451023664100 is an abundant number, since it is smaller than the sum of its proper divisors (34964081008380).

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

13451023664100 is a wasteful number, since it uses less digits than its factorization.

13451023664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71510011 (or 71510001 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13451023664100 its reverse (146632015431), we get a palindrome (13597655679531).

The spelling of 13451023664100 in words is "thirteen trillion, four hundred fifty-one billion, twenty-three million, six hundred sixty-four thousand, one hundred".