31135121400 has 192 divisors, whose sum is σ = 102192566400. Its totient is φ = 7819752960.

The previous prime is 31135121389. The next prime is 31135121431. The reversal of 31135121400 is 412153113.

It is a zygodrome in base 2.

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, 1964307 + ... + 1980093.

It is an arithmetic number, because the mean of its divisors is an integer number (532252950).

Almost surely, 2^31135121400 is an apocalyptic number.

31135121400 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 31135121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51096283200).

31135121400 is an abundant number, since it is smaller than the sum of its proper divisors (71057445000).

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

31135121400 is a wasteful number, since it uses less digits than its factorization.

31135121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15998 (or 15989 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 31135121400 its reverse (412153113), we get a palindrome (31547274513).

The spelling of 31135121400 in words is "thirty-one billion, one hundred thirty-five million, one hundred twenty-one thousand, four hundred".