33112103132357 has 2 divisors, whose sum is σ = 33112103132358. Its totient is φ = 33112103132356.

The previous prime is 33112103132287. The next prime is 33112103132359. The reversal of 33112103132357 is 75323130121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31799121743041 + 1312981389316 = 5639071^2 + 1145854^2 .

It is a cyclic number.

It is not a de Polignac number, because 33112103132357 - 2²² = 33112098938053 is a prime.

It is a super-2 number, since 2×33112103132357² (a number of 28 digits) contains 22 as substring.

Together with 33112103132359, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33112103132359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556051566178 + 16556051566179.

It is an arithmetic number, because the mean of its divisors is an integer number (16556051566179).

Almost surely, 2^{33112103132357} is an apocalyptic number.

It is an amenable number.

33112103132357 is a deficient number, since it is larger than the sum of its proper divisors (1).

33112103132357 is an equidigital number, since it uses as much as digits as its factorization.

33112103132357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 35.

The spelling of 33112103132357 in words is "thirty-three trillion, one hundred twelve billion, one hundred three million, one hundred thirty-two thousand, three hundred fifty-seven".