10131322311000 has 768 divisors, whose sum is σ = 38051173854720. Its totient is φ = 2410611840000.

The previous prime is 10131322310999. The next prime is 10131322311017. The reversal of 10131322311000 is 11322313101.

10131322311000 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 322 + 311 + 0 + 0 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 3303331467 + ... + 3303334533.

It is an arithmetic number, because the mean of its divisors is an integer number (49545799290).

Almost surely, 2^{10131322311000} is an apocalyptic number.

10131322311000 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 10131322311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19025586927360).

10131322311000 is an abundant number, since it is smaller than the sum of its proper divisors (27919851543720).

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

10131322311000 is a wasteful number, since it uses less digits than its factorization.

10131322311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10131322311000 its reverse (11322313101), we get a palindrome (10142644624101).

The spelling of 10131322311000 in words is "ten trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred eleven thousand".