97031016000 has 336 divisors, whose sum is σ = 351869916528. Its totient is φ = 25519104000.

The previous prime is 97031015999. The next prime is 97031016007. The reversal of 97031016000 is 61013079.

It can be written as a sum of positive squares in 8 ways, for example, as 55228760064 + 41802255936 = 235008^2 + 204456^2 .

It is not an unprimeable number, because it can be changed into a prime (97031016007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5246770 + ... + 5265230.

Almost surely, 2^97031016000 is an apocalyptic number.

97031016000 is a gapful number since it is divisible by the number (90) 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 97031016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175934958264).

97031016000 is an abundant number, since it is smaller than the sum of its proper divisors (254838900528).

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

97031016000 is a wasteful number, since it uses less digits than its factorization.

97031016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18567 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

Adding to 97031016000 its reverse (61013079), we get a palindrome (97092029079).

It can be divided in two parts, 970310 and 16000, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 97031016000 in words is "ninety-seven billion, thirty-one million, sixteen thousand".