101111320431000 has 384 divisors, whose sum is σ = 374777047756800. Its totient is φ = 24383496480000.

The previous prime is 101111320430983. The next prime is 101111320431061. The reversal of 101111320431000 is 134023111101.

It is a happy number.

101111320431000 is a `hidden beast` number, since 10 + 11 + 11 + 320 + 4 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×101111320431000² (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 95 ways as a sum of consecutive naturals, for example, 16235371 + ... + 21582629.

It is an arithmetic number, because the mean of its divisors is an integer number (975981895200).

Almost surely, 2^{101111320431000} is an apocalyptic number.

101111320431000 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 101111320431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187388523878400).

101111320431000 is an abundant number, since it is smaller than the sum of its proper divisors (273665727325800).

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

101111320431000 is a wasteful number, since it uses less digits than its factorization.

101111320431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5347488 (or 5347471 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101111320431000 its reverse (134023111101), we get a palindrome (101245343542101).

The spelling of 101111320431000 in words is "one hundred one trillion, one hundred eleven billion, three hundred twenty million, four hundred thirty-one thousand".