31030013311000 has 768 divisors, whose sum is σ = 85185644544000. Its totient is φ = 10554051200000.

The previous prime is 31030013310997. The next prime is 31030013311007. The reversal of 31030013311000 is 11331003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31030013311007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14699199945 + ... + 14699202055.

It is an arithmetic number, because the mean of its divisors is an integer number (110918808000).

Almost surely, 2^{31030013311000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31030013311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42592822272000).

31030013311000 is an abundant number, since it is smaller than the sum of its proper divisors (54155631233000).

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

31030013311000 is a wasteful number, since it uses less digits than its factorization.

31030013311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 31030013311000 its reverse (11331003013), we get a palindrome (31041344314013).

The spelling of 31030013311000 in words is "thirty-one trillion, thirty billion, thirteen million, three hundred eleven thousand".