1000130312000 has 56 divisors (see below), whose sum is σ = 2476822737480. Its totient is φ = 400052121600.

The previous prime is 1000130311967. The next prime is 1000130312003. The reversal of 1000130312000 is 2130310001.

1000130312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5658650176 + 994471661824 = 75224^2 + 997232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000130312003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62500145 + ... + 62516144.

It is an arithmetic number, because the mean of its divisors is an integer number (44228977455).

Almost surely, 2^{1000130312000} is an apocalyptic number.

1000130312000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000130312000 is an abundant number, since it is smaller than the sum of its proper divisors (1476692425480).

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

1000130312000 is an equidigital number, since it uses as much as digits as its factorization.

1000130312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125016316 (or 125016296 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1000130312000 its reverse (2130310001), we get a palindrome (1002260622001).

The spelling of 1000130312000 in words is "one trillion, one hundred thirty million, three hundred twelve thousand".