1013400101 has 8 divisors (see below), whose sum is σ = 1158710784. Its totient is φ = 868224240.

The previous prime is 1013400083. The next prime is 1013400127. The reversal of 1013400101 is 1010043101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1013400101 - 2¹⁰ = 1013399077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013400301) 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, 17045 + ... + 48138.

It is an arithmetic number, because the mean of its divisors is an integer number (144838848).

Almost surely, 2^1013400101 is an apocalyptic number.

It is an amenable number.

1013400101 is a deficient number, since it is larger than the sum of its proper divisors (145310683).

1013400101 is an equidigital number, since it uses as much as digits as its factorization.

1013400101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67411.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1013400101 is about 31833.9457340745. The cubic root of 1013400101 is about 1004.4468961358.

Adding to 1013400101 its reverse (1010043101), we get a palindrome (2023443202).

The spelling of 1013400101 in words is "one billion, thirteen million, four hundred thousand, one hundred one".