113002031101021 has 2 divisors, whose sum is σ = 113002031101022. Its totient is φ = 113002031101020.

The previous prime is 113002031101019. The next prime is 113002031101081. The reversal of 113002031101021 is 120101130200311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83072487876921 + 29929543224100 = 9114411^2 + 5470790^2 .

It is a cyclic number.

It is not a de Polignac number, because 113002031101021 - 2¹ = 113002031101019 is a prime.

It is a super-2 number, since 2×113002031101021² (a number of 29 digits) contains 22 as substring.

Together with 113002031101019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113002031100986 and 113002031101004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113002031101081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56501015550510 + 56501015550511.

It is an arithmetic number, because the mean of its divisors is an integer number (56501015550511).

Almost surely, 2^{113002031101021} is an apocalyptic number.

It is an amenable number.

113002031101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

113002031101021 is an equidigital number, since it uses as much as digits as its factorization.

113002031101021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113002031101021 its reverse (120101130200311), we get a palindrome (233103161301332).

The spelling of 113002031101021 in words is "one hundred thirteen trillion, two billion, thirty-one million, one hundred one thousand, twenty-one".