101947381263 has 48 divisors (see below), whose sum is σ = 181310176320. Its totient is φ = 53753559552.

The previous prime is 101947381247. The next prime is 101947381267. The reversal of 101947381263 is 362183749101.

101947381263 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 4 + 7 + 381 + 263 = 666.

It is a Cunningham number, because it is equal to 319292²-1.

It is not a de Polignac number, because 101947381263 - 2⁴ = 101947381247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101947381267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2212245 + ... + 2257857.

It is an arithmetic number, because the mean of its divisors is an integer number (3777295340).

Almost surely, 2^101947381263 is an apocalyptic number.

101947381263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101947381263 is a deficient number, since it is larger than the sum of its proper divisors (79362795057).

101947381263 is a wasteful number, since it uses less digits than its factorization.

101947381263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48368 (or 48365 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 101947381263 in words is "one hundred one billion, nine hundred forty-seven million, three hundred eighty-one thousand, two hundred sixty-three".