1013202312000 has 448 divisors, whose sum is σ = 3617832231936. Its totient is φ = 248878694400.

The previous prime is 1013202311977. The next prime is 1013202312007. The reversal of 1013202312000 is 2132023101.

1013202312000 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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013202312007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19149582 + ... + 19202418.

Almost surely, 2^{1013202312000} is an apocalyptic number.

1013202312000 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 1013202312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808916115968).

1013202312000 is an abundant number, since it is smaller than the sum of its proper divisors (2604629919936).

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

1013202312000 is a wasteful number, since it uses less digits than its factorization.

1013202312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52931 (or 52911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1013202312000 its reverse (2132023101), we get a palindrome (1015334335101).

The spelling of 1013202312000 in words is "one trillion, thirteen billion, two hundred two million, three hundred twelve thousand".