101021013012131 has 2 divisors, whose sum is σ = 101021013012132. Its totient is φ = 101021013012130.

The previous prime is 101021013012107. The next prime is 101021013012203. The reversal of 101021013012131 is 131210310120101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101021013012131 - 2⁶ = 101021013012067 is a prime.

It is a super-2 number, since 2×101021013012131² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101021013012631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510506506065 + 50510506506066.

It is an arithmetic number, because the mean of its divisors is an integer number (50510506506066).

Almost surely, 2^{101021013012131} is an apocalyptic number.

101021013012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021013012131 is an equidigital number, since it uses as much as digits as its factorization.

101021013012131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 101021013012131 its reverse (131210310120101), we get a palindrome (232231323132232).

The spelling of 101021013012131 in words is "one hundred one trillion, twenty-one billion, thirteen million, twelve thousand, one hundred thirty-one".