101010131320 has 192 divisors, whose sum is σ = 274020641280. Its totient is φ = 32765128704.

The previous prime is 101010131221. The next prime is 101010131351. The reversal of 101010131320 is 23131010101.

It is a self number, because there is not a number n which added to its sum of digits gives 101010131320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60593127 + ... + 60594793.

It is an arithmetic number, because the mean of its divisors is an integer number (1427190840).

Almost surely, 2^101010131320 is an apocalyptic number.

101010131320 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 101010131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137010320640).

101010131320 is an abundant number, since it is smaller than the sum of its proper divisors (173010509960).

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

101010131320 is a wasteful number, since it uses less digits than its factorization.

101010131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101010131320 its reverse (23131010101), we get a palindrome (124141141421).

The spelling of 101010131320 in words is "one hundred one billion, ten million, one hundred thirty-one thousand, three hundred twenty".