31121302320000 has 480 divisors, whose sum is σ = 117797593485000. Its totient is φ = 7862220288000.

The previous prime is 31121302319983. The next prime is 31121302320007. The reversal of 31121302320000 is 2320312113.

31121302320000 is a `hidden beast` number, since 31 + 12 + 1 + 302 + 320 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31121302320007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12542526 + ... + 14817474.

Almost surely, 2^{31121302320000} is an apocalyptic number.

31121302320000 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 31121302320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58898796742500).

31121302320000 is an abundant number, since it is smaller than the sum of its proper divisors (86676291165000).

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

31121302320000 is a wasteful number, since it uses less digits than its factorization.

31121302320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275008 (or 2274978 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31121302320000 its reverse (2320312113), we get a palindrome (31123622632113).

The spelling of 31121302320000 in words is "thirty-one trillion, one hundred twenty-one billion, three hundred two million, three hundred twenty thousand".