31000001301000 has 384 divisors, whose sum is σ = 107791647032160. Its totient is φ = 8029808640000.

The previous prime is 31000001300999. The next prime is 31000001301013. The reversal of 31000001301000 is 10310000013.

It can be written as a sum of positive squares in 16 ways, for example, as 5862352356 + 30994138948644 = 76566^2 + 5567238^2 .

It is a super-2 number, since 2×31000001301000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200055552 + ... + 200210448.

Almost surely, 2^{31000001301000} is an apocalyptic number.

31000001301000 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 31000001301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53895823516080).

31000001301000 is an abundant number, since it is smaller than the sum of its proper divisors (76791645731160).

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

31000001301000 is a wasteful number, since it uses less digits than its factorization.

31000001301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155562 (or 155545 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 31000001301000 its reverse (10310000013), we get a palindrome (31010311301013).

The spelling of 31000001301000 in words is "thirty-one trillion, one million, three hundred one thousand".