31102120140 has 384 divisors, whose sum is σ = 109247201280. Its totient is φ = 6437256192.

The previous prime is 31102120123. The next prime is 31102120151. The reversal of 31102120140 is 4102120113.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81206389 + ... + 81206771.

It is an arithmetic number, because the mean of its divisors is an integer number (284497920).

Almost surely, 2^31102120140 is an apocalyptic number.

31102120140 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 31102120140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623600640).

31102120140 is an abundant number, since it is smaller than the sum of its proper divisors (78145081140).

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

31102120140 is a wasteful number, since it uses less digits than its factorization.

31102120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 31102120140 its reverse (4102120113), we get a palindrome (35204240253).

The spelling of 31102120140 in words is "thirty-one billion, one hundred two million, one hundred twenty thousand, one hundred forty".