132013211013100 has 36 divisors (see below), whose sum is σ = 286469491529088. Its totient is φ = 52805132584000.

The previous prime is 132013211013083. The next prime is 132013211013119. The reversal of 132013211013100 is 1310112310231.

132013211013100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132013211013100² (a number of 29 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, 37030005 + ... + 40438195.

It is an arithmetic number, because the mean of its divisors is an integer number (7957485875808).

Almost surely, 2^{132013211013100} is an apocalyptic number.

132013211013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013211013100 is an abundant number, since it is smaller than the sum of its proper divisors (154456280515988).

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

132013211013100 is a wasteful number, since it uses less digits than its factorization.

132013211013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795546 (or 3795539 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 132013211013100 its reverse (1310112310231), we get a palindrome (133323323323331).

The spelling of 132013211013100 in words is "one hundred thirty-two trillion, thirteen billion, two hundred eleven million, thirteen thousand, one hundred".