1023352413000 has 128 divisors (see below), whose sum is σ = 3214289520000. Its totient is φ = 271062355200.

The previous prime is 1023352412987. The next prime is 1023352413007. The reversal of 1023352413000 is 3142533201.

It is a super-2 number, since 2×1023352413000² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1023352413007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697690 + ... + 1591689.

It is an arithmetic number, because the mean of its divisors is an integer number (25111636875).

Almost surely, 2^{1023352413000} is an apocalyptic number.

1023352413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023352413000 is an abundant number, since it is smaller than the sum of its proper divisors (2190937107000).

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

1023352413000 is a wasteful number, since it uses less digits than its factorization.

1023352413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289552 (or 2289538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 1023352413000 its reverse (3142533201), we get a palindrome (1026494946201).

The spelling of 1023352413000 in words is "one trillion, twenty-three billion, three hundred fifty-two million, four hundred thirteen thousand".