1001131414000 has 40 divisors (see below), whose sum is σ = 2420735763888. Its totient is φ = 400452564800.

The previous prime is 1001131413979. The next prime is 1001131414057. The reversal of 1001131414000 is 4141311001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250280854 + ... + 250284853.

Almost surely, 2^{1001131414000} is an apocalyptic number.

1001131414000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001131414000 is an abundant number, since it is smaller than the sum of its proper divisors (1419604349888).

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

1001131414000 is an equidigital number, since it uses as much as digits as its factorization.

1001131414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500565730 (or 500565714 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1001131414000 its reverse (4141311001), we get a palindrome (1005272725001).

The spelling of 1001131414000 in words is "one trillion, one billion, one hundred thirty-one million, four hundred fourteen thousand".