13133233012100 has 36 divisors (see below), whose sum is σ = 28543437884304. Its totient is φ = 5245123205280.

The previous prime is 13133233012087. The next prime is 13133233012153. The reversal of 13133233012100 is 121033233131.

13133233012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13133233012100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102060374 + ... + 102188973.

It is an arithmetic number, because the mean of its divisors is an integer number (792873274564).

Almost surely, 2^{13133233012100} is an apocalyptic number.

13133233012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133233012100 is an abundant number, since it is smaller than the sum of its proper divisors (15410204872204).

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

13133233012100 is a wasteful number, since it uses less digits than its factorization.

13133233012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204250004 (or 204249997 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13133233012100 its reverse (121033233131), we get a palindrome (13254266245231).

The spelling of 13133233012100 in words is "thirteen trillion, one hundred thirty-three billion, two hundred thirty-three million, twelve thousand, one hundred".