1023313101000 has 64 divisors (see below), whose sum is σ = 3192736884480. Its totient is φ = 272883492800.

The previous prime is 1023313100963. The next prime is 1023313101001. The reversal of 1023313101000 is 1013133201.

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

It is not an unprimeable number, because it can be changed into a prime (1023313101001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170549184 + ... + 170555183.

It is an arithmetic number, because the mean of its divisors is an integer number (49886513820).

Almost surely, 2^{1023313101000} is an apocalyptic number.

1023313101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023313101000 is an abundant number, since it is smaller than the sum of its proper divisors (2169423783480).

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

1023313101000 is a wasteful number, since it uses less digits than its factorization.

1023313101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341104391 (or 341104377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1023313101000 its reverse (1013133201), we get a palindrome (1024326234201).

The spelling of 1023313101000 in words is "one trillion, twenty-three billion, three hundred thirteen million, one hundred one thousand".