1000131103200 has 144 divisors (see below), whose sum is σ = 3267181355760. Its totient is φ = 265738629120.

The previous prime is 1000131103199. The next prime is 1000131103217. The reversal of 1000131103200 is 23011310001.

1000131103200 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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87405 + ... + 1417004.

It is an arithmetic number, because the mean of its divisors is an integer number (22688759415).

Almost surely, 2^{1000131103200} is an apocalyptic number.

1000131103200 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 1000131103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633590677880).

1000131103200 is an abundant number, since it is smaller than the sum of its proper divisors (2267050252560).

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

1000131103200 is a wasteful number, since it uses less digits than its factorization.

1000131103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504709 (or 1504696 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1000131103200 its reverse (23011310001), we get a palindrome (1023142413201).

The spelling of 1000131103200 in words is "one trillion, one hundred thirty-one million, one hundred three thousand, two hundred".