133113311313021 has 320 divisors, whose sum is σ = 231579177984000. Its totient is φ = 75608922009600.

The previous prime is 133113311313013. The next prime is 133113311313043. The reversal of 133113311313021 is 120313113311331.

133113311313021 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 13 + 311 + 31 + 302 + 1 = 666.

It is not a de Polignac number, because 133113311313021 - 2³ = 133113311313013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113311313121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10201028905 + ... + 10201041953.

It is an arithmetic number, because the mean of its divisors is an integer number (723684931200).

Almost surely, 2^{133113311313021} is an apocalyptic number.

It is an amenable number.

133113311313021 is a deficient number, since it is larger than the sum of its proper divisors (98465866670979).

133113311313021 is a wasteful number, since it uses less digits than its factorization.

133113311313021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 133113311313021 its reverse (120313113311331), we get a palindrome (253426424624352).

The spelling of 133113311313021 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred eleven million, three hundred thirteen thousand, twenty-one".