101031310320030 has 192 divisors, whose sum is σ = 267949782959040. Its totient is φ = 26404213248000.

The previous prime is 101031310320029. The next prime is 101031310320037. The reversal of 101031310320030 is 30023013130101.

It is a happy number.

101031310320030 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 1 + 310 + 320 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101031310319985 and 101031310320012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031310320037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3471732480 + ... + 3471761580.

It is an arithmetic number, because the mean of its divisors is an integer number (1395571786245).

Almost surely, 2^{101031310320030} is an apocalyptic number.

101031310320030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031310320030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133974891479520).

101031310320030 is an abundant number, since it is smaller than the sum of its proper divisors (166918472639010).

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

101031310320030 is a wasteful number, since it uses less digits than its factorization.

101031310320030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31147 (or 31144 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101031310320030 its reverse (30023013130101), we get a palindrome (131054323450131).

The spelling of 101031310320030 in words is "one hundred one trillion, thirty-one billion, three hundred ten million, three hundred twenty thousand, thirty".