31201023012000 has 96 divisors (see below), whose sum is σ = 102214551426624. Its totient is φ = 8320272800000.

The previous prime is 31201023011971. The next prime is 31201023012011. The reversal of 31201023012000 is 21032010213.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1300030626 + ... + 1300054625.

It is an arithmetic number, because the mean of its divisors is an integer number (1064734910694).

Almost surely, 2^{31201023012000} is an apocalyptic number.

31201023012000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31201023012000 is an abundant number, since it is smaller than the sum of its proper divisors (71013528414624).

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

31201023012000 is a wasteful number, since it uses less digits than its factorization.

31201023012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600085279 (or 2600085261 counting only the distinct ones).

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

Adding to 31201023012000 its reverse (21032010213), we get a palindrome (31222055022213).

The spelling of 31201023012000 in words is "thirty-one trillion, two hundred one billion, twenty-three million, twelve thousand".