101322431000 has 128 divisors (see below), whose sum is σ = 286904592000. Its totient is φ = 32695603200.

The previous prime is 101322430987. The next prime is 101322431029. The reversal of 101322431000 is 134223101.

It is a super-2 number, since 2×101322431000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101322431000.

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, 306725 + ... + 544724.

It is an arithmetic number, because the mean of its divisors is an integer number (2241442125).

Almost surely, 2^101322431000 is an apocalyptic number.

101322431000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322431000 is an abundant number, since it is smaller than the sum of its proper divisors (185582161000).

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

101322431000 is a wasteful number, since it uses less digits than its factorization.

101322431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851494 (or 851480 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101322431000 its reverse (134223101), we get a palindrome (101456654101).

The spelling of 101322431000 in words is "one hundred one billion, three hundred twenty-two million, four hundred thirty-one thousand".