101403120113300 has 72 divisors (see below), whose sum is σ = 224756211098496. Its totient is φ = 39693007388160.

The previous prime is 101403120113297. The next prime is 101403120113303. The reversal of 101403120113300 is 3311021304101.

It is an interprime number because it is at equal distance from previous prime (101403120113297) and next prime (101403120113303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101403120113303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34315244 + ... + 37152956.

Almost surely, 2^{101403120113300} is an apocalyptic number.

101403120113300 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 101403120113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112378105549248).

101403120113300 is an abundant number, since it is smaller than the sum of its proper divisors (123353090985196).

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

101403120113300 is a wasteful number, since it uses less digits than its factorization.

101403120113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845377 (or 2845370 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101403120113300 its reverse (3311021304101), we get a palindrome (104714141417401).

The spelling of 101403120113300 in words is "one hundred one trillion, four hundred three billion, one hundred twenty million, one hundred thirteen thousand, three hundred".