101131333201 has 48 divisors (see below), whose sum is σ = 116465799168. Its totient is φ = 87537542400.

The previous prime is 101131333157. The next prime is 101131333241. The reversal of 101131333201 is 102333131101.

It is not a de Polignac number, because 101131333201 - 2⁷ = 101131333073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101131333241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33585786 + ... + 33588796.

It is an arithmetic number, because the mean of its divisors is an integer number (2426370816).

Almost surely, 2^101131333201 is an apocalyptic number.

It is an amenable number.

101131333201 is a deficient number, since it is larger than the sum of its proper divisors (15334465967).

101131333201 is a wasteful number, since it uses less digits than its factorization.

101131333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3262 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101131333201 its reverse (102333131101), we get a palindrome (203464464302).

The spelling of 101131333201 in words is "one hundred one billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred one".