31214342001100 has 216 divisors, whose sum is σ = 70814427774048. Its totient is φ = 11941200000000.

The previous prime is 31214342001067. The next prime is 31214342001113. The reversal of 31214342001100 is 110024341213.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5833363425 + ... + 5833368775.

It is an arithmetic number, because the mean of its divisors is an integer number (327844573028).

Almost surely, 2^{31214342001100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31214342001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35407213887024).

31214342001100 is an abundant number, since it is smaller than the sum of its proper divisors (39600085772948).

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

31214342001100 is a wasteful number, since it uses less digits than its factorization.

31214342001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6091 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31214342001100 its reverse (110024341213), we get a palindrome (31324366342313).

The spelling of 31214342001100 in words is "thirty-one trillion, two hundred fourteen billion, three hundred forty-two million, one thousand, one hundred".