1013113131030 has 384 divisors, whose sum is σ = 3539934268416. Its totient is φ = 194144947200.

The previous prime is 1013113130999. The next prime is 1013113131067. The reversal of 1013113131030 is 301313113101.

1013113131030 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 313 + 10 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1013113130994 and 1013113131012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111436785 + ... + 111445875.

It is an arithmetic number, because the mean of its divisors is an integer number (9218578824).

Almost surely, 2^{1013113131030} is an apocalyptic number.

1013113131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013113131030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769967134208).

1013113131030 is an abundant number, since it is smaller than the sum of its proper divisors (2526821137386).

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

1013113131030 is a wasteful number, since it uses less digits than its factorization.

1013113131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10372 (or 10369 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1013113131030 its reverse (301313113101), we get a palindrome (1314426244131).

The spelling of 1013113131030 in words is "one trillion, thirteen billion, one hundred thirteen million, one hundred thirty-one thousand, thirty".