34212330131100 has 144 divisors (see below), whose sum is σ = 108711298281600. Its totient is φ = 8238234348800.

The previous prime is 34212330131029. The next prime is 34212330131137. The reversal of 34212330131100 is 113103321243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34298142 + ... + 35281541.

It is an arithmetic number, because the mean of its divisors is an integer number (754939571400).

Almost surely, 2^{34212330131100} is an apocalyptic number.

34212330131100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34212330131100 is an abundant number, since it is smaller than the sum of its proper divisors (74498968150500).

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

34212330131100 is a wasteful number, since it uses less digits than its factorization.

34212330131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69579860 (or 69579853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 34212330131100 its reverse (113103321243), we get a palindrome (34325433452343).

The spelling of 34212330131100 in words is "thirty-four trillion, two hundred twelve billion, three hundred thirty million, one hundred thirty-one thousand, one hundred".