1023134313201 has 384 divisors, whose sum is σ = 1995787530240. Its totient is φ = 452286996480.

The previous prime is 1023134313193. The next prime is 1023134313221.

1023134313201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1023134313201 - 2³ = 1023134313193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023134313221) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6276897546 + ... + 6276897708.

It is an arithmetic number, because the mean of its divisors is an integer number (5197363360).

Almost surely, 2^{1023134313201} is an apocalyptic number.

1023134313201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023134313201 is a deficient number, since it is larger than the sum of its proper divisors (972653217039).

1023134313201 is a wasteful number, since it uses less digits than its factorization.

1023134313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 426 counting only the distinct ones).

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

The spelling of 1023134313201 in words is "one trillion, twenty-three billion, one hundred thirty-four million, three hundred thirteen thousand, two hundred one".