100131132012029 has 2 divisors, whose sum is σ = 100131132012030. Its totient is φ = 100131132012028.

The previous prime is 100131132011993. The next prime is 100131132012091. The reversal of 100131132012029 is 920210231131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96723822119929 + 3407309892100 = 9834827^2 + 1845890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100131132012029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131132011989 and 100131132012007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131132012829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065566006014 + 50065566006015.

It is an arithmetic number, because the mean of its divisors is an integer number (50065566006015).

Almost surely, 2^{100131132012029} is an apocalyptic number.

It is an amenable number.

100131132012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131132012029 is an equidigital number, since it uses as much as digits as its factorization.

100131132012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 100131132012029 in words is "one hundred trillion, one hundred thirty-one billion, one hundred thirty-two million, twelve thousand, twenty-nine".