31034113200 has 210 divisors, whose sum is σ = 111789097644. Its totient is φ = 8275685760.

The previous prime is 31034113177. The next prime is 31034113217. The reversal of 31034113200 is 231143013.

31034113200 is a `hidden beast` number, since 3 + 1 + 0 + 341 + 1 + 320 + 0 = 666.

It is a super-2 number, since 2×31034113200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 238387 + ... + 344813.

Almost surely, 2^31034113200 is an apocalyptic number.

31034113200 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 31034113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55894548822).

31034113200 is an abundant number, since it is smaller than the sum of its proper divisors (80754984444).

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

31034113200 is a wasteful number, since it uses less digits than its factorization.

31034113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106463 (or 106437 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31034113200 its reverse (231143013), we get a palindrome (31265256213).

The spelling of 31034113200 in words is "thirty-one billion, thirty-four million, one hundred thirteen thousand, two hundred".