101103013003000 has 128 divisors (see below), whose sum is σ = 251215355664000. Its totient is φ = 37953247488000.

The previous prime is 101103013002961. The next prime is 101103013003001. The reversal of 101103013003000 is 300310301101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103013003001) 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, 2587396 + ... + 14453395.

It is an arithmetic number, because the mean of its divisors is an integer number (1962619966125).

Almost surely, 2^{101103013003000} is an apocalyptic number.

101103013003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103013003000 is an abundant number, since it is smaller than the sum of its proper divisors (150112342661000).

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

101103013003000 is a wasteful number, since it uses less digits than its factorization.

101103013003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17041178 (or 17041164 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 101103013003000 its reverse (300310301101), we get a palindrome (101403323304101).

The spelling of 101103013003000 in words is "one hundred one trillion, one hundred three billion, thirteen million, three thousand".