101101312313000 has 128 divisors (see below), whose sum is σ = 249987883392000. Its totient is φ = 38192591923200.

The previous prime is 101101312312883. The next prime is 101101312313051. The reversal of 101101312313000 is 313213101101.

101101312313000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101101312313000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26003945 + ... + 29637944.

It is an arithmetic number, because the mean of its divisors is an integer number (1953030339000).

Almost surely, 2^{101101312313000} is an apocalyptic number.

101101312313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101312313000 is an abundant number, since it is smaller than the sum of its proper divisors (148886571079000).

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

101101312313000 is a wasteful number, since it uses less digits than its factorization.

101101312313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55642012 (or 55641998 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101101312313000 its reverse (313213101101), we get a palindrome (101414525414101).

The spelling of 101101312313000 in words is "one hundred one trillion, one hundred one billion, three hundred twelve million, three hundred thirteen thousand".