10131020021311 has 48 divisors (see below), whose sum is σ = 12422726722560. Its totient is φ = 8215167018240.

The previous prime is 10131020021293. The next prime is 10131020021323. The reversal of 10131020021311 is 11312002013101.

It is a happy number.

It is not a de Polignac number, because 10131020021311 - 2¹⁵ = 10131019988543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131020021371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3246079831 + ... + 3246082951.

It is an arithmetic number, because the mean of its divisors is an integer number (258806806720).

Almost surely, 2^{10131020021311} is an apocalyptic number.

10131020021311 is a deficient number, since it is larger than the sum of its proper divisors (2291706701249).

10131020021311 is a wasteful number, since it uses less digits than its factorization.

10131020021311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10131020021311 its reverse (11312002013101), we get a palindrome (21443022034412).

The spelling of 10131020021311 in words is "ten trillion, one hundred thirty-one billion, twenty million, twenty-one thousand, three hundred eleven".