11313311031000 has 384 divisors, whose sum is σ = 42842716637760. Its totient is φ = 2668495104000.

The previous prime is 11313311030947. The next prime is 11313311031019. The reversal of 11313311031000 is 13011331311.

11313311031000 is a `hidden beast` number, since 1 + 1 + 313 + 31 + 10 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×11313311031000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2118732 + ... + 5207268.

Almost surely, 2^{11313311031000} is an apocalyptic number.

11313311031000 is a gapful number since it is divisible by the number (10) 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 11313311031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21421358318880).

11313311031000 is an abundant number, since it is smaller than the sum of its proper divisors (31529405606760).

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

11313311031000 is a wasteful number, since it uses less digits than its factorization.

11313311031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088612 (or 3088595 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 11313311031000 its reverse (13011331311), we get a palindrome (11326322362311).

The spelling of 11313311031000 in words is "eleven trillion, three hundred thirteen billion, three hundred eleven million, thirty-one thousand".