103223141322301 has 64 divisors (see below), whose sum is σ = 145814307803136. Its totient is φ = 71018308405440.

The previous prime is 103223141322263. The next prime is 103223141322331.

103223141322301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103223141322301 - 2¹³ = 103223141314109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103223141322301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103223141322331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15740991 + ... + 21312556.

It is an arithmetic number, because the mean of its divisors is an integer number (2278348559424).

Almost surely, 2^{103223141322301} is an apocalyptic number.

103223141322301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103223141322301 is a deficient number, since it is larger than the sum of its proper divisors (42591166480835).

103223141322301 is a wasteful number, since it uses less digits than its factorization.

103223141322301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37053623 (or 37053601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 103223141322301 in words is "one hundred three trillion, two hundred twenty-three billion, one hundred forty-one million, three hundred twenty-two thousand, three hundred one".