101233121313000 has 384 divisors, whose sum is σ = 335703640596480. Its totient is φ = 25393584025600.

The previous prime is 101233121312969. The next prime is 101233121313013. The reversal of 101233121313000 is 313121332101.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1627327897 + ... + 1627390103.

It is an arithmetic number, because the mean of its divisors is an integer number (874228230720).

Almost surely, 2^{101233121313000} is an apocalyptic number.

101233121313000 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 101233121313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167851820298240).

101233121313000 is an abundant number, since it is smaller than the sum of its proper divisors (234470519283480).

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

101233121313000 is a wasteful number, since it uses less digits than its factorization.

101233121313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64142 (or 64111 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101233121313000 its reverse (313121332101), we get a palindrome (101546242645101).

The spelling of 101233121313000 in words is "one hundred one trillion, two hundred thirty-three billion, one hundred twenty-one million, three hundred thirteen thousand".