102013403123000 has 256 divisors, whose sum is σ = 257896390976640. Its totient is φ = 37625662464000.

The previous prime is 102013403122993. The next prime is 102013403123057. The reversal of 102013403123000 is 321304310201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 622509074 + ... + 622672926.

Almost surely, 2^{102013403123000} is an apocalyptic number.

102013403123000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102013403123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128948195488320).

102013403123000 is an abundant number, since it is smaller than the sum of its proper divisors (155882987853640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102013403123000 is a wasteful number, since it uses less digits than its factorization.

102013403123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164635 (or 164621 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102013403123000 its reverse (321304310201), we get a palindrome (102334707433201).

The spelling of 102013403123000 in words is "one hundred two trillion, thirteen billion, four hundred three million, one hundred twenty-three thousand".