101311131330 has 24 divisors (see below), whose sum is σ = 263408941692. Its totient is φ = 27016301664.

The previous prime is 101311131319. The next prime is 101311131349. The reversal of 101311131330 is 33131113101.

101311131330 is a `hidden beast` number, since 10 + 1 + 311 + 1 + 313 + 30 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85835522529 + 15475608801 = 292977^2 + 124401^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562839529 + ... + 562839708.

Almost surely, 2^101311131330 is an apocalyptic number.

101311131330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101311131330 is an abundant number, since it is smaller than the sum of its proper divisors (162097810362).

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

101311131330 is a wasteful number, since it uses less digits than its factorization.

101311131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125679250 (or 1125679247 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101311131330 its reverse (33131113101), we get a palindrome (134442244431).

The spelling of 101311131330 in words is "one hundred one billion, three hundred eleven million, one hundred thirty-one thousand, three hundred thirty".