1021013123131 has 2 divisors, whose sum is σ = 1021013123132. Its totient is φ = 1021013123130.

The previous prime is 1021013123113. The next prime is 1021013123261. The reversal of 1021013123131 is 1313213101201.

Together with previous prime (1021013123113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1021013123131 - 2⁵ = 1021013123099 is a prime.

It is a super-3 number, since 3×1021013123131³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1021013123099 and 1021013123108.

It is not a weakly prime, because it can be changed into another prime (1021013123531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510506561565 + 510506561566.

It is an arithmetic number, because the mean of its divisors is an integer number (510506561566).

Almost surely, 2^{1021013123131} is an apocalyptic number.

1021013123131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021013123131 is an equidigital number, since it uses as much as digits as its factorization.

1021013123131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1021013123131 its reverse (1313213101201), we get a palindrome (2334226224332).

The spelling of 1021013123131 in words is "one trillion, twenty-one billion, thirteen million, one hundred twenty-three thousand, one hundred thirty-one".