31034442221100 has 216 divisors, whose sum is σ = 99741264150528. Its totient is φ = 8067496560000.

The previous prime is 31034442221023. The next prime is 31034442221119. The reversal of 31034442221100 is 112224443013.

31034442221100 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 4 + 442 + 2 + 211 + 0 + 0 = 666.

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, 9155797 + ... + 12078803.

It is an arithmetic number, because the mean of its divisors is an integer number (461765111808).

Almost surely, 2^{31034442221100} is an apocalyptic number.

31034442221100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31034442221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49870632075264).

31034442221100 is an abundant number, since it is smaller than the sum of its proper divisors (68706821929428).

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

31034442221100 is a wasteful number, since it uses less digits than its factorization.

31034442221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923325 (or 2923315 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31034442221100 its reverse (112224443013), we get a palindrome (31146666664113).

The spelling of 31034442221100 in words is "thirty-one trillion, thirty-four billion, four hundred forty-two million, two hundred twenty-one thousand, one hundred".