1020113132010 has 128 divisors (see below), whose sum is σ = 2920257736704. Its totient is φ = 222986649600.

The previous prime is 1020113131963. The next prime is 1020113132041. The reversal of 1020113132010 is 102313110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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, 28242282 + ... + 28278378.

It is an arithmetic number, because the mean of its divisors is an integer number (22814513568).

Almost surely, 2^{1020113132010} is an apocalyptic number.

1020113132010 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 1020113132010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1460128868352).

1020113132010 is an abundant number, since it is smaller than the sum of its proper divisors (1900144604694).

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

1020113132010 is a wasteful number, since it uses less digits than its factorization.

1020113132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41988.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1020113132010 its reverse (102313110201), we get a palindrome (1122426242211).

The spelling of 1020113132010 in words is "one trillion, twenty billion, one hundred thirteen million, one hundred thirty-two thousand, ten".