101111323131000 has 768 divisors, whose sum is σ = 431991425698560. Its totient is φ = 20756794060800.

The previous prime is 101111323130977. The next prime is 101111323131047. The reversal of 101111323131000 is 131323111101.

101111323131000 is a `hidden beast` number, since 1 + 0 + 11 + 113 + 231 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×101111323131000² (a number of 29 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 191 ways as a sum of consecutive naturals, for example, 28634662 + ... + 31971338.

It is an arithmetic number, because the mean of its divisors is an integer number (562488835545).

Almost surely, 2^{101111323131000} is an apocalyptic number.

101111323131000 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 101111323131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215995712849280).

101111323131000 is an abundant number, since it is smaller than the sum of its proper divisors (330880102567560).

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

101111323131000 is a wasteful number, since it uses less digits than its factorization.

101111323131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336761 (or 3336744 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 101111323131000 its reverse (131323111101), we get a palindrome (101242646242101).

The spelling of 101111323131000 in words is "one hundred one trillion, one hundred eleven billion, three hundred twenty-three million, one hundred thirty-one thousand".