31201300000 has 144 divisors (see below), whose sum is σ = 82689098184. Its totient is φ = 11520000000.

The previous prime is 31201299989. The next prime is 31201300001. The reversal of 31201300000 is 310213.

It can be written as a sum of positive squares in 12 ways, for example, as 23818366224 + 7382933776 = 154332^2 + 85924^2 .

It is a super-2 number, since 2×31201300000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 31201300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201300001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288000 + ... + 1312000.

Almost surely, 2^31201300000 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 31201300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41344549092).

31201300000 is an abundant number, since it is smaller than the sum of its proper divisors (51487798184).

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

31201300000 is an equidigital number, since it uses as much as digits as its factorization.

31201300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24049 (or 24021 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 31201300000 its reverse (310213), we get a palindrome (31201610213).

The spelling of 31201300000 in words is "thirty-one billion, two hundred one million, three hundred thousand".