31220311121010 has 96 divisors (see below), whose sum is σ = 88553418557760. Its totient is φ = 7568452291200.

The previous prime is 31220311121003. The next prime is 31220311121011. The reversal of 31220311121010 is 1012111302213.

31220311121010 is a `hidden beast` number, since 3 + 1 + 220 + 311 + 121 + 0 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31220311121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85810861 + ... + 86173919.

It is an arithmetic number, because the mean of its divisors is an integer number (922431443310).

Almost surely, 2^{31220311121010} is an apocalyptic number.

31220311121010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

31220311121010 is an abundant number, since it is smaller than the sum of its proper divisors (57333107436750).

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

31220311121010 is a wasteful number, since it uses less digits than its factorization.

31220311121010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449944 (or 449941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 31220311121010 its reverse (1012111302213), we get a palindrome (32232422423223).

The spelling of 31220311121010 in words is "thirty-one trillion, two hundred twenty billion, three hundred eleven million, one hundred twenty-one thousand, ten".