101313031302000 has 960 divisors, whose sum is σ = 407232324415488. Its totient is φ = 22995809280000.

The previous prime is 101313031301957. The next prime is 101313031302001. The reversal of 101313031302000 is 203130313101.

It is a happy number.

101313031302000 is a `hidden beast` number, since 1 + 0 + 1 + 31 + 303 + 130 + 200 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101313031302001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11144317455 + ... + 11144326545.

Almost surely, 2^{101313031302000} is an apocalyptic number.

101313031302000 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 101313031302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203616162207744).

101313031302000 is an abundant number, since it is smaller than the sum of its proper divisors (305919293113488).

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

101313031302000 is a wasteful number, since it uses less digits than its factorization.

101313031302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9716 counting only the distinct ones).

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

Adding to 101313031302000 its reverse (203130313101), we get a palindrome (101516161615101).

The spelling of 101313031302000 in words is "one hundred one trillion, three hundred thirteen billion, thirty-one million, three hundred two thousand".