101131321300 has 72 divisors (see below), whose sum is σ = 221098348800. Its totient is φ = 40150032000.

The previous prime is 101131321279. The next prime is 101131321307. The reversal of 101131321300 is 3123131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101131321307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35028457 + ... + 35031343.

It is an arithmetic number, because the mean of its divisors is an integer number (3070810400).

Almost surely, 2^101131321300 is an apocalyptic number.

101131321300 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 101131321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110549174400).

101131321300 is an abundant number, since it is smaller than the sum of its proper divisors (119967027500).

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

101131321300 is a wasteful number, since it uses less digits than its factorization.

101131321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101131321300 its reverse (3123131101), we get a palindrome (104254452401).

The spelling of 101131321300 in words is "one hundred one billion, one hundred thirty-one million, three hundred twenty-one thousand, three hundred".