133213101101031 has 32 divisors (see below), whose sum is σ = 206625986344960. Its totient is φ = 74768784390144.

The previous prime is 133213101101027. The next prime is 133213101101051. The reversal of 133213101101031 is 130101101312331.

133213101101031 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133213101101031 - 2² = 133213101101027 is a prime.

It is a super-2 number, since 2×133213101101031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 133213101100989 and 133213101101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213101101051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207703720 + ... + 208344093.

It is an arithmetic number, because the mean of its divisors is an integer number (6457062073280).

Almost surely, 2^{133213101101031} is an apocalyptic number.

133213101101031 is a deficient number, since it is larger than the sum of its proper divisors (73412885243929).

133213101101031 is a wasteful number, since it uses less digits than its factorization.

133213101101031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416048095.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 133213101101031 its reverse (130101101312331), we get a palindrome (263314202413362).

The spelling of 133213101101031 in words is "one hundred thirty-three trillion, two hundred thirteen billion, one hundred one million, one hundred one thousand, thirty-one".