31401441301100 has 144 divisors (see below), whose sum is σ = 77258495035680. Its totient is φ = 10982229350400.

The previous prime is 31401441301039. The next prime is 31401441301123. The reversal of 31401441301100 is 110314410413.

It is a super-2 number, since 2×31401441301100² (a number of 28 digits) contains 22 as substring.

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, 145152614 + ... + 145368786.

Almost surely, 2^{31401441301100} 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 31401441301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38629247517840).

31401441301100 is an abundant number, since it is smaller than the sum of its proper divisors (45857053734580).

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

31401441301100 is a wasteful number, since it uses less digits than its factorization.

31401441301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222100 (or 222093 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 31401441301100 its reverse (110314410413), we get a palindrome (31511755711513).

The spelling of 31401441301100 in words is "thirty-one trillion, four hundred one billion, four hundred forty-one million, three hundred one thousand, one hundred".