31001231220000 has 480 divisors, whose sum is σ = 102579223690944. Its totient is φ = 8194867200000.

The previous prime is 31001231219977. The next prime is 31001231220059. The reversal of 31001231220000 is 2213210013.

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

It is a super-2 number, since 2×31001231220000² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10194418480 + ... + 10194421520.

Almost surely, 2^{31001231220000} is an apocalyptic number.

31001231220000 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 31001231220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51289611845472).

31001231220000 is an abundant number, since it is smaller than the sum of its proper divisors (71577992470944).

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

31001231220000 is a wasteful number, since it uses less digits than its factorization.

31001231220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31001231220000 its reverse (2213210013), we get a palindrome (31003444430013).

The spelling of 31001231220000 in words is "thirty-one trillion, one billion, two hundred thirty-one million, two hundred twenty thousand".