101331113323000 has 128 divisors (see below), whose sum is σ = 263054947334400. Its totient is φ = 36223140432000.

The previous prime is 101331113322979. The next prime is 101331113323001. The reversal of 101331113323000 is 323311133101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101331113323001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77418114 + ... + 78716113.

It is an arithmetic number, because the mean of its divisors is an integer number (2055116776050).

Almost surely, 2^{101331113323000} is an apocalyptic number.

101331113323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101331113323000 is an abundant number, since it is smaller than the sum of its proper divisors (161723834011400).

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

101331113323000 is a wasteful number, since it uses less digits than its factorization.

101331113323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156134318 (or 156134304 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101331113323000 its reverse (323311133101), we get a palindrome (101654424456101).

The spelling of 101331113323000 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirteen million, three hundred twenty-three thousand".