1233313131961 has 2 divisors, whose sum is σ = 1233313131962. Its totient is φ = 1233313131960.

The previous prime is 1233313131943. The next prime is 1233313132067. The reversal of 1233313131961 is 1691313133321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 764608587561 + 468704544400 = 874419^2 + 684620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233313131961 - 2¹⁷ = 1233313000889 is a prime.

It is a super-2 number, since 2×1233313131961² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1233313131961.

It is not a weakly prime, because it can be changed into another prime (1233313131931) 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, 616656565980 + 616656565981.

It is an arithmetic number, because the mean of its divisors is an integer number (616656565981).

Almost surely, 2^{1233313131961} is an apocalyptic number.

It is an amenable number.

1233313131961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233313131961 is an equidigital number, since it uses as much as digits as its factorization.

1233313131961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 37.

The spelling of 1233313131961 in words is "one trillion, two hundred thirty-three billion, three hundred thirteen million, one hundred thirty-one thousand, nine hundred sixty-one".