1023313033104 has 160 divisors (see below), whose sum is σ = 2700360499200. Its totient is φ = 333864115200.

The previous prime is 1023313033097. The next prime is 1023313033139. The reversal of 1023313033104 is 4013303133201.

It is a happy number.

1023313033104 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246045777 + ... + 246049935.

It is an arithmetic number, because the mean of its divisors is an integer number (16877253120).

Almost surely, 2^{1023313033104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023313033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350180249600).

1023313033104 is an abundant number, since it is smaller than the sum of its proper divisors (1677047466096).

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

1023313033104 is a wasteful number, since it uses less digits than its factorization.

1023313033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4813 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1023313033104 its reverse (4013303133201), we get a palindrome (5036616166305).

The spelling of 1023313033104 in words is "one trillion, twenty-three billion, three hundred thirteen million, thirty-three thousand, one hundred four".