101413001412 has 36 divisors (see below), whose sum is σ = 256362218476. Its totient is φ = 33802660800.

The previous prime is 101413001401. The next prime is 101413001507. The reversal of 101413001412 is 214100314101.

It can be written as a sum of positive squares in 2 ways, for example, as 7817389056 + 93595612356 = 88416^2 + 305934^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825162 + ... + 940062.

Almost surely, 2^101413001412 is an apocalyptic number.

101413001412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101413001412 is an abundant number, since it is smaller than the sum of its proper divisors (154949217064).

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

101413001412 is a wasteful number, since it uses less digits than its factorization.

101413001412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139428 (or 139423 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101413001412 its reverse (214100314101), we get a palindrome (315513315513).

The spelling of 101413001412 in words is "one hundred one billion, four hundred thirteen million, one thousand, four hundred twelve".