101312131333 has 12 divisors (see below), whose sum is σ = 118155873420. Its totient is φ = 86615716992.

The previous prime is 101312131331. The next prime is 101312131357. The reversal of 101312131333 is 333131213101.

It can be written as a sum of positive squares in 2 ways, for example, as 36535264164 + 64776867169 = 191142^2 + 254513^2 .

It is not a de Polignac number, because 101312131333 - 2¹ = 101312131331 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312131331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2638516 + ... + 2676637.

It is an arithmetic number, because the mean of its divisors is an integer number (9846322785).

Almost surely, 2^101312131333 is an apocalyptic number.

It is an amenable number.

101312131333 is a deficient number, since it is larger than the sum of its proper divisors (16843742087).

101312131333 is an equidigital number, since it uses as much as digits as its factorization.

101312131333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5315556 (or 5315549 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101312131333 its reverse (333131213101), we get a palindrome (434443344434).

The spelling of 101312131333 in words is "one hundred one billion, three hundred twelve million, one hundred thirty-one thousand, three hundred thirty-three".