1013022313020 has 144 divisors (see below), whose sum is σ = 3116332608480. Its totient is φ = 266332796928.

The previous prime is 1013022312997. The next prime is 1013022313027. The reversal of 1013022313020 is 203132203101.

1013022313020 is a `hidden beast` number, since 1 + 0 + 130 + 2 + 231 + 302 + 0 = 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 = 1013022312984 and 1013022313002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013022313027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5467824 + ... + 5650056.

It is an arithmetic number, because the mean of its divisors is an integer number (21641198670).

Almost surely, 2^{1013022313020} is an apocalyptic number.

1013022313020 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 1013022313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558166304240).

1013022313020 is an abundant number, since it is smaller than the sum of its proper divisors (2103310295460).

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

1013022313020 is a wasteful number, since it uses less digits than its factorization.

1013022313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182684 (or 182679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1013022313020 its reverse (203132203101), we get a palindrome (1216154516121).

The spelling of 1013022313020 in words is "one trillion, thirteen billion, twenty-two million, three hundred thirteen thousand, twenty".