101003013031000 has 256 divisors, whose sum is σ = 249716323733760. Its totient is φ = 38193077145600.

The previous prime is 101003013030977. The next prime is 101003013031001. The reversal of 101003013031000 is 130310300101.

It is a happy number.

It is a super-2 number, since 2×101003013031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003013031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201732972 + ... + 202233028.

It is an arithmetic number, because the mean of its divisors is an integer number (975454389585).

Almost surely, 2^{101003013031000} is an apocalyptic number.

101003013031000 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 101003013031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124858161866880).

101003013031000 is an abundant number, since it is smaller than the sum of its proper divisors (148713310702760).

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

101003013031000 is a wasteful number, since it uses less digits than its factorization.

101003013031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500271 (or 500257 counting only the distinct ones).

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

Adding to 101003013031000 its reverse (130310300101), we get a palindrome (101133323331101).

The spelling of 101003013031000 in words is "one hundred one trillion, three billion, thirteen million, thirty-one thousand".