1021131131031 has 48 divisors (see below), whose sum is σ = 1679172768000. Its totient is φ = 591904114560.

The previous prime is 1021131131017. The next prime is 1021131131047. The reversal of 1021131131031 is 1301311311201.

1021131131031 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 311 + 310 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-1021131131031 is a prime.

It is a super-2 number, since 2×1021131131031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1021131130995 and 1021131131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021131139031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46095900 + ... + 46118046.

It is an arithmetic number, because the mean of its divisors is an integer number (34982766000).

Almost surely, 2^{1021131131031} is an apocalyptic number.

1021131131031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1021131131031 is a deficient number, since it is larger than the sum of its proper divisors (658041636969).

1021131131031 is a wasteful number, since it uses less digits than its factorization.

1021131131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42436 (or 42433 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1021131131031 its reverse (1301311311201), we get a palindrome (2322442442232).

The spelling of 1021131131031 in words is "one trillion, twenty-one billion, one hundred thirty-one million, one hundred thirty-one thousand, thirty-one".