11031213131000 has 128 divisors (see below), whose sum is σ = 26000264908800. Its totient is φ = 4380562627200.

The previous prime is 11031213130943. The next prime is 11031213131011. The reversal of 11031213131000 is 13131213011.

It is a super-2 number, since 2×11031213131000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11031213131000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108602237 + ... + 108703763.

It is an arithmetic number, because the mean of its divisors is an integer number (203127069600).

Almost surely, 2^{11031213131000} is an apocalyptic number.

11031213131000 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 11031213131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000132454400).

11031213131000 is an abundant number, since it is smaller than the sum of its proper divisors (14969051777800).

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

11031213131000 is a wasteful number, since it uses less digits than its factorization.

11031213131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102334 (or 102320 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11031213131000 its reverse (13131213011), we get a palindrome (11044344344011).

The spelling of 11031213131000 in words is "eleven trillion, thirty-one billion, two hundred thirteen million, one hundred thirty-one thousand".