31005013200 has 240 divisors, whose sum is σ = 119482590720. Its totient is φ = 6713832960.

The previous prime is 31005013189. The next prime is 31005013201. The reversal of 31005013200 is 231050013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×31005013200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31005013200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31005013201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62467 + ... + 256733.

It is an arithmetic number, because the mean of its divisors is an integer number (497844128).

Almost surely, 2^31005013200 is an apocalyptic number.

31005013200 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 31005013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59741295360).

31005013200 is an abundant number, since it is smaller than the sum of its proper divisors (88477577520).

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

31005013200 is a wasteful number, since it uses less digits than its factorization.

31005013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194314 (or 194303 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 31005013200 its reverse (231050013), we get a palindrome (31236063213).

The spelling of 31005013200 in words is "thirty-one billion, five million, thirteen thousand, two hundred".