1023121133300 has 144 divisors (see below), whose sum is σ = 2678058176640. Its totient is φ = 331429501440.

The previous prime is 1023121133231. The next prime is 1023121133317. The reversal of 1023121133300 is 33311213201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4857782 + ... + 5064018.

Almost surely, 2^{1023121133300} is an apocalyptic number.

1023121133300 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 1023121133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339029088320).

1023121133300 is an abundant number, since it is smaller than the sum of its proper divisors (1654937043340).

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

1023121133300 is a wasteful number, since it uses less digits than its factorization.

1023121133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206650 (or 206643 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1023121133300 its reverse (33311213201), we get a palindrome (1056432346501).

The spelling of 1023121133300 in words is "one trillion, twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, three hundred".