31301002020000 has 240 divisors, whose sum is σ = 102692828300832. Its totient is φ = 8345366400000.

The previous prime is 31301002019999. The next prime is 31301002020037. The reversal of 31301002020000 is 2020010313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339013842 + ... + 339106158.

Almost surely, 2^{31301002020000} is an apocalyptic number.

31301002020000 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 31301002020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51346414150416).

31301002020000 is an abundant number, since it is smaller than the sum of its proper divisors (71391826280832).

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

31301002020000 is an equidigital number, since it uses as much as digits as its factorization.

31301002020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98001 (or 97978 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31301002020000 its reverse (2020010313), we get a palindrome (31303022030313).

The spelling of 31301002020000 in words is "thirty-one trillion, three hundred one billion, two million, twenty thousand".