101233201311000 has 384 divisors, whose sum is σ = 382378691822400. Its totient is φ = 23942810880000.

The previous prime is 101233201310999. The next prime is 101233201311023. The reversal of 101233201311000 is 113102332101.

101233201311000 is a `hidden beast` number, since 10 + 1 + 23 + 320 + 1 + 311 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×101233201311000² (a number of 29 digits) contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 8411215 + ... + 16529214.

Almost surely, 2^{101233201311000} is an apocalyptic number.

101233201311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101233201311000 is an abundant number, since it is smaller than the sum of its proper divisors (281145490511400).

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

101233201311000 is a wasteful number, since it uses less digits than its factorization.

101233201311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24940508 (or 24940491 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101233201311000 its reverse (113102332101), we get a palindrome (101346303643101).

The spelling of 101233201311000 in words is "one hundred one trillion, two hundred thirty-three billion, two hundred one million, three hundred eleven thousand".