2101021313031 has 24 divisors (see below), whose sum is σ = 3037284089424. Its totient is φ = 1399538747520.

The previous prime is 2101021313023. The next prime is 2101021313047. The reversal of 2101021313031 is 1303131201012.

It is not a de Polignac number, because 2101021313031 - 2³ = 2101021313023 is a prime.

It is a super-2 number, since 2×2101021313031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101021312995 and 2101021313013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101021313431) 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 23 ways as a sum of consecutive naturals, for example, 72632451 + ... + 72661371.

It is an arithmetic number, because the mean of its divisors is an integer number (126553503726).

Almost surely, 2^{2101021313031} is an apocalyptic number.

2101021313031 is a deficient number, since it is larger than the sum of its proper divisors (936262776393).

2101021313031 is a wasteful number, since it uses less digits than its factorization.

2101021313031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35231 (or 35228 counting only the distinct ones).

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

Adding to 2101021313031 its reverse (1303131201012), we get a palindrome (3404152514043).

The spelling of 2101021313031 in words is "two trillion, one hundred one billion, twenty-one million, three hundred thirteen thousand, thirty-one".