1995131004100 has 432 divisors, whose sum is σ = 5065230179520. Its totient is φ = 679311360000.

The previous prime is 1995131004089. The next prime is 1995131004133. The reversal of 1995131004100 is 14001315991.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5264197711 + ... + 5264198089.

It is an arithmetic number, because the mean of its divisors is an integer number (11725069860).

Almost surely, 2^{1995131004100} is an apocalyptic number.

1995131004100 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 1995131004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532615089760).

1995131004100 is an abundant number, since it is smaller than the sum of its proper divisors (3070099175420).

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

1995131004100 is a wasteful number, since it uses less digits than its factorization.

1995131004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 1995131004100 in words is "one trillion, nine hundred ninety-five billion, one hundred thirty-one million, four thousand, one hundred".