101312001331 has 2 divisors, whose sum is σ = 101312001332. Its totient is φ = 101312001330.

The previous prime is 101312001319. The next prime is 101312001367. The reversal of 101312001331 is 133100213101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 101312001331 - 2⁵ = 101312001299 is a prime.

It is a super-2 number, since 2×101312001331² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101312001031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50656000665 + 50656000666.

It is an arithmetic number, because the mean of its divisors is an integer number (50656000666).

Almost surely, 2^101312001331 is an apocalyptic number.

101312001331 is a deficient number, since it is larger than the sum of its proper divisors (1).

101312001331 is an equidigital number, since it uses as much as digits as its factorization.

101312001331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101312001331 its reverse (133100213101), we get a palindrome (234412214432).

The spelling of 101312001331 in words is "one hundred one billion, three hundred twelve million, one thousand, three hundred thirty-one".