34313413023100 has 36 divisors (see below), whose sum is σ = 74463035116288. Its totient is φ = 13724825328000.

The previous prime is 34313413023073. The next prime is 34313413023107. The reversal of 34313413023100 is 132031431343.

It is a super-2 number, since 2×34313413023100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34313413023107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4188681 + ... + 9282880.

Almost surely, 2^{34313413023100} is an apocalyptic number.

It is an amenable number.

34313413023100 is an abundant number, since it is smaller than the sum of its proper divisors (40149622093188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34313413023100 is a wasteful number, since it uses less digits than its factorization.

34313413023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497046 (or 13497039 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 34313413023100 its reverse (132031431343), we get a palindrome (34445444454443).

The spelling of 34313413023100 in words is "thirty-four trillion, three hundred thirteen billion, four hundred thirteen million, twenty-three thousand, one hundred".