10345353206001 has 32 divisors (see below), whose sum is σ = 15245678739456. Its totient is φ = 6187972896000.

The previous prime is 10345353205931. The next prime is 10345353206039. The reversal of 10345353206001 is 10060235354301.

10345353206001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10345353206001 - 2²⁶ = 10345286097137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10345353206101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5661480 + ... + 7262441.

It is an arithmetic number, because the mean of its divisors is an integer number (476427460608).

Almost surely, 2^{10345353206001} is an apocalyptic number.

10345353206001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10345353206001 is a deficient number, since it is larger than the sum of its proper divisors (4900325533455).

10345353206001 is a wasteful number, since it uses less digits than its factorization.

10345353206001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12924253.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 10345353206001 in words is "ten trillion, three hundred forty-five billion, three hundred fifty-three million, two hundred six thousand, one".