1023313113000 has 384 divisors, whose sum is σ = 3698572868640. Its totient is φ = 254284800000.

The previous prime is 1023313112981. The next prime is 1023313113029. The reversal of 1023313113000 is 3113133201.

It is a happy number.

1023313113000 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 31 + 1 + 300 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 141693522084 + 881619590916 = 376422^2 + 938946^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15419890 + ... + 15486110.

Almost surely, 2^{1023313113000} is an apocalyptic number.

1023313113000 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 1023313113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849286434320).

1023313113000 is an abundant number, since it is smaller than the sum of its proper divisors (2675259755640).

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

1023313113000 is a wasteful number, since it uses less digits than its factorization.

1023313113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66366 (or 66349 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1023313113000 its reverse (3113133201), we get a palindrome (1026426246201).

The spelling of 1023313113000 in words is "one trillion, twenty-three billion, three hundred thirteen million, one hundred thirteen thousand".