31231020000 has 240 divisors, whose sum is σ = 102936612240. Its totient is φ = 8288256000.

The previous prime is 31231019987. The next prime is 31231020131. The reversal of 31231020000 is 2013213.

It is a happy number.

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

It is a super-2 number, since 2×31231020000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 13738864 + ... + 13741136.

It is an arithmetic number, because the mean of its divisors is an integer number (428902551).

Almost surely, 2^31231020000 is an apocalyptic number.

31231020000 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 31231020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51468306120).

31231020000 is an abundant number, since it is smaller than the sum of its proper divisors (71705592240).

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

31231020000 is a wasteful number, since it uses less digits than its factorization.

31231020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2512 counting only the distinct ones).

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

Adding to 31231020000 its reverse (2013213), we get a palindrome (31233033213).

The spelling of 31231020000 in words is "thirty-one billion, two hundred thirty-one million, twenty thousand".