101953797131 has 2 divisors, whose sum is σ = 101953797132. Its totient is φ = 101953797130.

The previous prime is 101953797119. The next prime is 101953797149. The reversal of 101953797131 is 131797359101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101953797131 - 2⁶ = 101953797067 is a prime.

It is a super-2 number, since 2×101953797131² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101953790131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50976898565 + 50976898566.

It is an arithmetic number, because the mean of its divisors is an integer number (50976898566).

Almost surely, 2^101953797131 is an apocalyptic number.

101953797131 is a deficient number, since it is larger than the sum of its proper divisors (1).

101953797131 is an equidigital number, since it uses as much as digits as its factorization.

101953797131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 178605, while the sum is 47.

The spelling of 101953797131 in words is "one hundred one billion, nine hundred fifty-three million, seven hundred ninety-seven thousand, one hundred thirty-one".