13133212311300 has 72 divisors (see below), whose sum is σ = 38016952696800. Its totient is φ = 3500513291520.

The previous prime is 13133212311281. The next prime is 13133212311313. The reversal of 13133212311300 is 311321233131.

13133212311300 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 2×13133212311300² (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 23 ways as a sum of consecutive naturals, for example, 9851370 + ... + 11104769.

It is an arithmetic number, because the mean of its divisors is an integer number (528013231900).

Almost surely, 2^{13133212311300} is an apocalyptic number.

13133212311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133212311300 is an abundant number, since it is smaller than the sum of its proper divisors (24883740385500).

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

13133212311300 is a wasteful number, since it uses less digits than its factorization.

13133212311300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20958245 (or 20958238 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13133212311300 its reverse (311321233131), we get a palindrome (13444533544431).

The spelling of 13133212311300 in words is "thirteen trillion, one hundred thirty-three billion, two hundred twelve million, three hundred eleven thousand, three hundred".