31120135200 has 1458 divisors, whose sum is σ = 145702824813. Its totient is φ = 6466521600.

The previous prime is 31120135177. The next prime is 31120135229. The reversal of 31120135200 is 253102113.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

31120135200 is a `hidden beast` number, since 311 + 2 + 0 + 1 + 352 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30497732496 + 622402704 = 174636^2 + 24948^2 .

It is a tau number, because it is divible by the number of its divisors (1458).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=124740.

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 242 ways as a sum of consecutive naturals, for example, 2829103195 + ... + 2829103205.

Almost surely, 2^31120135200 is an apocalyptic number.

31120135200 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 31120135200

31120135200 is an abundant number, since it is smaller than the sum of its proper divisors (114582689613).

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

31120135200 is an equidigital number, since it uses as much as digits as its factorization.

31120135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Multiplying 31120135200 by its sum of digits (18), we get a square (560162433600 = 748440²).

31120135200 divided by its sum of digits (18) gives a square (1728896400 = 41580²).

Adding to 31120135200 its reverse (253102113), we get a palindrome (31373237313).

The spelling of 31120135200 in words is "thirty-one billion, one hundred twenty million, one hundred thirty-five thousand, two hundred".