1032142412301 has 128 divisors (see below), whose sum is σ = 1913398996992. Its totient is φ = 481550572800.

The previous prime is 1032142412293. The next prime is 1032142412317.

1032142412301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1032142412301 - 2³ = 1032142412293 is a prime.

It is a super-2 number, since 2×1032142412301² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032142412341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13406046 + ... + 13482816.

It is an arithmetic number, because the mean of its divisors is an integer number (14948429664).

Almost surely, 2^{1032142412301} is an apocalyptic number.

1032142412301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1032142412301 is a deficient number, since it is larger than the sum of its proper divisors (881256584691).

1032142412301 is a wasteful number, since it uses less digits than its factorization.

1032142412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76864 (or 76842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1032142412301 in words is "one trillion, thirty-two billion, one hundred forty-two million, four hundred twelve thousand, three hundred one".