1013234323101 has 192 divisors, whose sum is σ = 1868487505920. Its totient is φ = 475130304000.

The previous prime is 1013234323091. The next prime is 1013234323109.

1013234323101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1013234323101 - 2⁵ = 1013234323069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013234323109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276913810 + ... + 276917468.

It is an arithmetic number, because the mean of its divisors is an integer number (9731705760).

Almost surely, 2^{1013234323101} is an apocalyptic number.

1013234323101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013234323101 is a deficient number, since it is larger than the sum of its proper divisors (855253182819).

1013234323101 is a wasteful number, since it uses less digits than its factorization.

1013234323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 1013234323101 in words is "one trillion, thirteen billion, two hundred thirty-four million, three hundred twenty-three thousand, one hundred one".