1000032013123 has 16 divisors (see below), whose sum is σ = 1176077903616. Its totient is φ = 838319761440.

The previous prime is 1000032013121. The next prime is 1000032013133. The reversal of 1000032013123 is 3213102300001.

1000032013123 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1000032013123 - 2¹ = 1000032013121 is a prime.

It is a super-3 number, since 3×1000032013123³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000032013097 and 1000032013106.

It is not an unprimeable number, because it can be changed into a prime (1000032013121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3477661 + ... + 3754222.

It is an arithmetic number, because the mean of its divisors is an integer number (73504868976).

Almost surely, 2^{1000032013123} is an apocalyptic number.

1000032013123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000032013123 is a deficient number, since it is larger than the sum of its proper divisors (176045890493).

1000032013123 is a wasteful number, since it uses less digits than its factorization.

1000032013123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7232874.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1000032013123 its reverse (3213102300001), we get a palindrome (4213134313124).

The spelling of 1000032013123 in words is "one trillion, thirty-two million, thirteen thousand, one hundred twenty-three".