113233001211313 has 2 divisors, whose sum is σ = 113233001211314. Its totient is φ = 113233001211312.

The previous prime is 113233001211287. The next prime is 113233001211371. The reversal of 113233001211313 is 313112100332311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112136599554849 + 1096401656464 = 10589457^2 + 1047092^2 .

It is a cyclic number.

It is not a de Polignac number, because 113233001211313 - 2⁴⁵ = 78048629122481 is a prime.

It is a super-2 number, since 2×113233001211313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113233001211613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56616500605656 + 56616500605657.

It is an arithmetic number, because the mean of its divisors is an integer number (56616500605657).

Almost surely, 2^{113233001211313} is an apocalyptic number.

It is an amenable number.

113233001211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113233001211313 is an equidigital number, since it uses as much as digits as its factorization.

113233001211313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 113233001211313 its reverse (313112100332311), we get a palindrome (426345101543624).

The spelling of 113233001211313 in words is "one hundred thirteen trillion, two hundred thirty-three billion, one million, two hundred eleven thousand, three hundred thirteen".