101012312133 has 24 divisors (see below), whose sum is σ = 153496231200. Its totient is φ = 63917385504.

The previous prime is 101012312131. The next prime is 101012312153. The reversal of 101012312133 is 331213210101.

It is not a de Polignac number, because 101012312133 - 2¹ = 101012312131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012312131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264435 + ... + 3295232.

It is an arithmetic number, because the mean of its divisors is an integer number (6395676300).

Almost surely, 2^101012312133 is an apocalyptic number.

It is an amenable number.

101012312133 is a deficient number, since it is larger than the sum of its proper divisors (52483919067).

101012312133 is a wasteful number, since it uses less digits than its factorization.

101012312133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559761 (or 6559758 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101012312133 its reverse (331213210101), we get a palindrome (432225522234).

The spelling of 101012312133 in words is "one hundred one billion, twelve million, three hundred twelve thousand, one hundred thirty-three".